18 citations · 40 across the 14 of their papers we have counts for
16 papers
Dimensions of sums with self-similar sets
Daniel Oberlin, Richard Oberlin
For some self-similar sets K in d-dimensional Euclidean space we obtain certain lower bounds for the lower Minkowski dimension of K+E in terms of the lower Minkowski dimension of E…
Spherical Means and Pinned Distance Sets
Daniel Oberlin, Richard Oberlin
We use mixed norm estimates for the spherical averaging operator to obtain some results concerning pinned distance sets.
Application of a Fourier restriction theorem to certain families of projections in R^3
Daniel Oberlin, Richard Oberlin
We use a restriction theorem for Fourier transforms of fractal measures to study projections onto families of planes in R^3 whose normal directions form nondegenerate curves.
Some toy Furstenberg sets and projections of the four-corner Cantor set
Daniel M. Oberlin
We give lower bounds for the Hausdorff dimensions of some model Furstenberg sets.
Restriction of Fourier transforms to curves: An endpoint estimate with affine arclength measure
Jong-Guk Bak, Daniel M. Oberlin, Andreas Seeger
Consider the Fourier restriction operator associated to a curve in , . We prove for various classes of curves the endpoint restricted strong type estimate with respect…
Exceptional sets of projections, unions of k-planes, and associated transforms
Daniel M. Oberlin
We prove a generalization of a result of Peres and Schlag on the dimensions of certain exceptional sets of projections and then apply it to a geometric problem.